2002 ford mustang. Engine rotates, but wont start. Replaced battery

A very common problem with the fords of this era was the negative battery cable connection. The cable has a tendency to loosen up where it is attached to either the frame or engine blck. The other battery cable, the positive one (red), runs very close to the exhaust manifold and pipe down near the starter motor and will sometimes make contact, melt the insulation on the wire and short out. I would recommend examining and either tightening connections or replacing the battery cables.

Best to use a OBD2 code scanner and check for any stored codes.

I'm leaning towards your TFI module on the Dizzy. They get hot from engine and are a known issue by ford. I included a picture of what the TFI or ignition module looks like in your Stang. Be sure to tell the store clerk if you have a auto or manual when you purchase one Good Luck Ryan MN

Ck timing

give me more detail do the engine turn over not start or do the engine not rotate.make sure battery has 12.5 volts and battery cables clean not corroded,if you have 12.5 volts need to remove test starter and starter solenoid.if engine turn over.check for fuel pressure and spark at spark plugs.have vechicle code scan before buying new parts.

Undo the battery for 10 minutes, plug it back up, let the car sit for 20 minutes WITHOUT trying to start it, then try to start it. it should work.

I'm having the save problem. Is it every time it's hot out?

try the emrgency cut off switch located in the trunk behind the driverside tailight.

SOUND LIKE A BAD CONNECTION.RECHECK ALL THE GROUNDS & CHECK THE POWER WIRES TO THE STARTER & AT THE BATTERY.IS STATER WAS BAD THE LIGHTS WOULD NOT GO OFF WHEN U CRANK.GOOD LUCK

Are you sure its not an engine overheating issue Maybe have a faulty eng temp sensor.Sounds like engine is tightening up Considering what youve replaced ICan you check power supply to starter when its tight?